| Course title | |||||
| 線形代数学Ⅰ [Linear Algebra Ⅰ] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 1～ | Semester | 1st | |
| Course type | 1st | Course code | 01ma1001b | ||
| Instructor(s) | |||||
| 西村 滋人 [NISHIMURA Shigeto] | |||||
| Facility affiliation | Graduate School of Agriculture | Office | Email address | ||
| Course description |
|
In this first introductory course to linear algebra, we will learn about elementary computations in linear algebra based on matrices. This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus. |
| Expected Learning |
|
The goals of this course are (1) to be capable of performing basic operations on matrices. (2) to solve systems of linear equations by the sweeping-out method (3) to be capable of performing their practical calculations of determinant Corresponding criteria in the Diploma Policy: See the Curriculum maps. (URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ ) |
| Course schedule |
|
(1) Correspondence between systems of linear equations and matrices (guidance) (2) Some definitions and terminologies on matrix (3) Calculations of matrix (4) Elementary transformations (5) Reduced matrices and rank (6) The sweeping-out method to solve systems of linear equations (7) Permutations (8) Definition of determinant; Sarrus' scheme (9) Properties of determinant (Part I) (10) Properties of determinant (part II) (11) Cofactor expansion (12) Cofactor matrices and inverse matrices (13) Exercises on calculations of determinants (14) Cramer’s formula (15) Examination, review |
| Prerequisites |
| Nothing in particular |
| Required Text(s) and Materials |
| An introduction to linear algebra ( Toshitune Miyake) Baifukan |
| References |
| Assessment/Grading |
| Examination (100%) |
| Message from instructor(s) |
| Course keywords |
| Matrix, Rank, Inverse matrix, System of linear equations, Determinant, |
| Office hours |
| Office for Part-Time Lecturers |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 1/19/2022 10:58:16 AM |